Question

You just got a new phone and now you need to get a phone plan. One company offers a flat fee of forty dollars a month for unlimited calling and texting. Another company offers fifteen dollars a month with unlimited texting, but you have to pay 5¢ for every minute you're on the phone. How many hours can you talk on the phone until both plans cost the same?

Answer 1

Let us formulate two equations for both cases:

First option:

C= 40 (Cost)

Second option:

C= 15 + 3*h ( $3 is the cost of talking on the phone 60 minutes and h represents the number of hours)

Replacing the first equation in the second one, we have:

40 = 15 + 3h

40 - 15 = 3h (Subtracting 15 on both sides of the equation)

25 = 3h (Subtracting)

25/3 = h (Dividing by 3 on both sides of the equation)

8.33 =h (Dividing)

You can talk on the phone 8.33 until both plans cost the same.